Revista Matemática Iberoamericana
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Published online: 1998-04-30
A proof of the smoothing properties of the positive part of Boltzmann's kernelFrançois Bouchut and Laurent Desvillettes (1) Ecole Normale Superieure, Paris, France
(2) CMLA-ENS, Cachan, France
We give two direct proofs of Sobolev estimates for the positive part of Boltzmanns kernel. The first deals with a cross section with separated variables; no derivative is needed in this case. The second is concerned with a general cross section having one derivative in the angular variable.
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Bouchut François, Desvillettes Laurent: A proof of the smoothing properties of the positive part of Boltzmann's kernel. Rev. Mat. Iberoam. 14 (1998), 47-61. doi: 10.4171/RMI/233